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Thermo-mechanical performance of layered transversely isotropic media around a cylindrical/tubular heat source
Abstract We develop a new numerical model based on a precise integration method to investigate the coupled thermo-mechanical performance of layered transversely isotropic media around a cylindrical/tubular heat source. To obtain the relational matrices of the extended precise integration method, we first convert the governing equations of the problem into ordinary differential matrix equations through the Laplace–Hankel transform. Then, the cylindrical heat source is divided into a series of plane heat sources, and the plane temperature load term is added to the state vector between layer elements. By combining the layer elements, we build a layered transversely isotropic numerical model containing a cylindrical heat source in the transformed domain. Finally, we solve the model in the transformed domain and obtain the solution of the problem in the real domain through the Laplace–Hankel transform inversion. The accuracy of this method is verified by comparing the solutions with the results of the analytical method and the finite element method. Then, we study the influence of the anisotropy of thermal parameters, the embedded depth, the length/radius ratio, the type of heat source and the stratification of the medium on the thermo-mechanical coupled performance.
Thermo-mechanical performance of layered transversely isotropic media around a cylindrical/tubular heat source
Abstract We develop a new numerical model based on a precise integration method to investigate the coupled thermo-mechanical performance of layered transversely isotropic media around a cylindrical/tubular heat source. To obtain the relational matrices of the extended precise integration method, we first convert the governing equations of the problem into ordinary differential matrix equations through the Laplace–Hankel transform. Then, the cylindrical heat source is divided into a series of plane heat sources, and the plane temperature load term is added to the state vector between layer elements. By combining the layer elements, we build a layered transversely isotropic numerical model containing a cylindrical heat source in the transformed domain. Finally, we solve the model in the transformed domain and obtain the solution of the problem in the real domain through the Laplace–Hankel transform inversion. The accuracy of this method is verified by comparing the solutions with the results of the analytical method and the finite element method. Then, we study the influence of the anisotropy of thermal parameters, the embedded depth, the length/radius ratio, the type of heat source and the stratification of the medium on the thermo-mechanical coupled performance.
Thermo-mechanical performance of layered transversely isotropic media around a cylindrical/tubular heat source
Ai, Zhi Yong (author) / Ye, Zi (author) / Song, Xiaoyu (author) / Wang, Lu Jun (author)
Acta Geotechnica ; 14 ; 1143-1160
2018-10-08
18 pages
Article (Journal)
Electronic Resource
English
Cylindrical/tubular heat source , Extended precise integration method , Multilayered medium , Thermo-mechanical coupling , Transverse isotropy Engineering , Geoengineering, Foundations, Hydraulics , Solid Mechanics , Geotechnical Engineering & Applied Earth Sciences , Soil Science & Conservation , Soft and Granular Matter, Complex Fluids and Microfluidics
Thermo-mechanical coupling response of a layered isotropic medium around a cylindrical heat source
| British Library Online Contents | 2017
Thermo-mechanical coupling response of a layered isotropic medium around a cylindrical heat source
| British Library Online Contents | 2017
Thermo-mechanical coupling response of a layered isotropic medium around a cylindrical heat source
| Online Contents | 2017